Provide an Appropriate Response $=50$ Alternative Hypothesis: Population Mean $>50$

question 173

Essay

Provide an appropriate response.
-Jenny is conducting a hypothesis test concerning a population mean. The hypotheses are as
follows. Null hypothesis: population mean $=50$
Alternative hypothesis: population mean $>50$

She selects a sample and finds that the sample mean is $54.2$ . She then does some calculations and is able to make the following statement:
If the population mean were 50 , the chance that the sample mean would have come out as big as $54.2$ or bigger is 0.3. Do you think that she should reject the null hypothesis? Why or why not?

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